Spiral Knots
نویسندگان
چکیده
منابع مشابه
Spiral Knots
Spiral knots are a generalization of torus knots we define by a certain periodic closed braid representation. For spiral knots with prime power period, we calculate their genus, bound their crossing number, and bound their m-alternating excess.
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Knots in R which may be parameterized by a single cosine function in each coordinate are called Lissajous knots. We show that twist knots are Lissajous knots if and only if their Arf invariants are zero. We further prove that all 2-bridge knots and all (3, q)-torus knots have Lissajous projections.
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The first synthetic molecular trefoil knot was prepared in the late 1980s. However, it is only in the last few years that more complex small-molecule knot topologies have been realized through chemical synthesis. The steric restrictions imposed on molecular strands by knotting can impart significant physical and chemical properties, including chirality, strong and selective ion binding, and cat...
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ژورنال
عنوان ژورنال: Missouri Journal of Mathematical Sciences
سال: 2010
ISSN: 0899-6180
DOI: 10.35834/mjms/1312232716